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Finding the Fourth Proportional to 13,498.08, 20,258.64 and 5,295.84

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Solution

The fourth proportional to 13,498.08, 20,258.64 and 5,295.84 is: 7,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.08 : 20,258.64 = 5,295.84 : x
  2. Step 2: Convert to fraction form
    13,498.08/20,258.64 = 5,295.84/x
  3. Step 3: Cross multiply
    13,498.08x = 20,258.64 × 5,295.84
  4. Step 4: Simplify right side
    13,498.08x = 107,286,516.06
  5. Step 5: Solve for x
    x = 107,286,516.06/13,498.08
  6. Step 6: Final answer
    x = 7,948.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.